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grigory [225]
3 years ago
14

The average number of pounds of red meat a person consumes each year is 196 with a standard deviation of 22 pounds (source: amer

ican dietetic association). if a sample of 50 individuals is randomly selected, find the probability that the mean of the sample will be less than 200 pounds.
Mathematics
1 answer:
disa [49]3 years ago
7 0
Given:
Mean, μ = 196
Std. dev., σ = 22
A sample size of 50 (> 30) is large enough to provide meaningful data.

The random variable is x = 200.
The z-score is
z = (x - μ)/σ = (200 - 196)/22 = 0.1818

From normal distribution tables, obtain
Prob(X < 200) = 0.572 = 57.2%

Answer: 57.2%
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